# Comment on 'Stable and unstable vector dark solitons of coupled nonlinear Schroedinger equation: Application to two-component Bose-Einstein condensates'

## Abstract

In a recent paper, V. A. Brazhnyi and V. V. Konoto [Phys. Rev. E 72, 026616 (2005)] investigated the dynamics of vector dark solitons in two-component Bose-Einstein condensates. In the small amplitude limit, they deduced a coupled Korteweg-de Vries equation from the coupled Gross-Pitaevskii equations. They found that two branches of (slow and fast) dark solitons corresponding to the two branches of the sound waves exist. The slow solitons, corresponding to the lower branch of the acoustic wave, appear to be unstable and transform during the evolution into the stable fast solitons (corresponding to the upper branch of the dispersion law). However, our discussion shows that these results are incorrect.

- Authors:

- College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070 (China)

- Publication Date:

- OSTI Identifier:
- 20778716

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.73.028601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SOLITONS; SOUND WAVES

### Citation Formats

```
Xue Jukui.
```*Comment on 'Stable and unstable vector dark solitons of coupled nonlinear Schroedinger equation: Application to two-component Bose-Einstein condensates'*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVE.73.0.

```
Xue Jukui.
```*Comment on 'Stable and unstable vector dark solitons of coupled nonlinear Schroedinger equation: Application to two-component Bose-Einstein condensates'*. United States. doi:10.1103/PHYSREVE.73.0.

```
Xue Jukui. Wed .
"Comment on 'Stable and unstable vector dark solitons of coupled nonlinear Schroedinger equation: Application to two-component Bose-Einstein condensates'". United States.
doi:10.1103/PHYSREVE.73.0.
```

```
@article{osti_20778716,
```

title = {Comment on 'Stable and unstable vector dark solitons of coupled nonlinear Schroedinger equation: Application to two-component Bose-Einstein condensates'},

author = {Xue Jukui},

abstractNote = {In a recent paper, V. A. Brazhnyi and V. V. Konoto [Phys. Rev. E 72, 026616 (2005)] investigated the dynamics of vector dark solitons in two-component Bose-Einstein condensates. In the small amplitude limit, they deduced a coupled Korteweg-de Vries equation from the coupled Gross-Pitaevskii equations. They found that two branches of (slow and fast) dark solitons corresponding to the two branches of the sound waves exist. The slow solitons, corresponding to the lower branch of the acoustic wave, appear to be unstable and transform during the evolution into the stable fast solitons (corresponding to the upper branch of the dispersion law). However, our discussion shows that these results are incorrect.},

doi = {10.1103/PHYSREVE.73.0},

journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},

number = 2,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}

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